c- he-m- i= s-tr y for conservators · lead pb ancient latin, plumbum, meaning heavy french,...
TRANSCRIPT
1 20-Jul-17 © Prof. Zvi C. Koren
Introduction to 6C-2He-m-53I=16S-tr-39Y
for Conservators
Shenkar College: Engineering. Design. Art.
The Edelstein
Center
www.edelsteincenter.wordpress.com www.shenkar.ac.il
2 20-Jul-17 © Prof. Zvi C. Koren
1. The Periodic Table of the Elements
Mendeleev
Element names
Natural vs. synthetic elements
Metals, nonmetals, semi-metals (metalloids)
Solids, liquids, gases
Groups (families, columns) and periods (rows)
Molecular elements
Allotropes
Periodicity examples: The alkali metals
2. Atoms
Atomic structure
Atomic number and mass number
Isotopes
Atomic weight/mass
3. Ionic & Covalent Compounds: Formulas
Nature of chemical bonds
Cations & anions
Nomenclature
Acids & bases - names
Empirical vs. molecular formulas
Syllabus 4. Chemical Reactions
Acids and bases - reactions
Reaction types
Balancing reactions
Net ionic reactions
5. Measurement Units & Conversions
Scientific notation
Metric and S.I. system
Unit prefixes
Calculations via the “unit conversion factor” method
6. The Mole
Avogadro’s number
Atomic and molecular weights/masses
Gram-mole-items calculations
7. Stoichiometry: Chemical Mathematics
Chemical quantities reacting & produced
Solution concentration units & conversions:
Molarity (M), molality (m), Normality (N)
Weight percent (w/w%, w/v%); Volume percent (v/v%)
Parts (ppt, ppm, ppb)
3 20-Jul-17 © Prof. Zvi C. Koren
1.
The Chemical Bible:
The Periodic Table of the Elements
4 20-Jul-17 © Prof. Zvi C. Koren
5 20-Jul-17 © Prof. Zvi C. Koren
6 20-Jul-17 © Prof. Zvi C. Koren
Dmitri Ivanovich Mendeleev Дмитрий Иванович Менделеев
(1834 –1907)
On 6 March 1869, Mendeleev made a formal presentation
to the Russian Chemical Society, titled:
On the Relationship of the Properties of the Elements to their Atomic Weights. (Actually, Mendeleev was ill, and his colleague Nikolai Menshutkin presented his paper.)
The paper was published in the first volume of the new society's journal:
Journal of the Russian Chemical Society 1, 60-77 (1869):
That same year, a German abstract of the
paper, consisting of the table and eight
comments, was published:
Zeitschrift für Chemie 12, 405-406 (1869).
The German abstract was the vehicle by
which Mendeleev's ideas reached chemists
working in Western Europe.
7 20-Jul-17 © Prof. Zvi C. Koren pp. 405 – 406
8 20-Jul-17 © Prof. Zvi C. Koren
Artist: Ivan Nikolaevich Kramskoi (1878)
D.Mendeleev Museum & Archives, St.Petersburg State University
http://spbu.ru/files/culture/museums/mendeleev/index.html
9 20-Jul-17 © Prof. Zvi C. Koren
Derivation of Name or
Symbol
Discoverer
(Country)
Date of
Discovery
Symbol Element
Berkeley, California (site of Seaborg’s
laboratory)
G.T. Seaborg,
S.G. Thompson,
A. Ghiorso (USA)
1950 Bk Berkelium
Latin, cuprum, derived from Cyprium,
the island of Cyprus, the main source
of copper in the ancient world.
Ancient Cu Copper
Albert Einstein A. Ghiorso (USA) 1952 Es Einsteinium
Latin, ferrum Ancient Fe Iron
Latin, plumbum, meaning heavy Ancient Pb Lead
French, oxygene, generator of acid,
derived from the Greek, oxy and
genes, meaning acid-forming; oxygen
was thought to be part of all acids
J. Priestley (UK),
K.W. Scheele
(Sweden)
1774 O Oxygen
Latin, argentum Ancient Ag Silver
Latin, stannum Ancient Sn Tin
Name from Swedish, tung sten,
meaning heavy stone; symbol from
wolframite, a mineral
J.J. and F. de
Elhuyer (Spain)
1783 W Tungsten
Derivation of Element Names and Symbols – People, Places, and Things
10 20-Jul-17 © Prof. Zvi C. Koren
Modern Periodic Table
is based on
“Atomic Numbers”
The Periodic Table Matrix
Periods, Rows
Groups, Columns, Families
Main group elements
Transition group elements
Metals
Nonmetals
Metalloids, Semimetals
Alkali metals
Alkaline earth metals
Coinage metals
Halogens
Noble gases
Lanthanides & Actinides
11 20-Jul-17 © Prof. Zvi C. Koren
He H
Ne F O N B
Ar Cl Al
Kr Br Ga
Xe
Rn Hg Cs
Fr
@ room temperature (250C)
@ Room Temperature (all others are solids)
Liquid Gaseous & Elements
12 20-Jul-17 © Prof. Zvi C. Koren
H
F O N
Cl
Br
I
At
Stable Elements as Diatomic Molecules (@ Room Temperature)
H2, N2, O2, F2, Cl2
Br2
I2
At2
הנוף
כולו
בר
י
א
13 20-Jul-17 © Prof. Zvi C. Koren
The Halogens
diatomic molecules
Molecular Elements
14 20-Jul-17 © Prof. Zvi C. Koren
Carbon
Allotropes
15 20-Jul-17 © Prof. Zvi C. Koren
Oxygen
Allotropes
triatomic
molecule O2
light 2 O
O + O2 O3
diatomic
molecule
16 20-Jul-17 © Prof. Zvi C. Koren
tetrahedral
(tetrahedron)
tetratomic
molecule
17 20-Jul-17 © Prof. Zvi C. Koren
octatomic
molecule
18 20-Jul-17 © Prof. Zvi C. Koren
Examples of Periodicity:
Reactions of Alkali Metals with Water
https://www.youtube.com/watch?v=uixxJtJPVXk
https://www.youtube.com/watch?v=jI__JY7pqOM
Summary: https://www.youtube.com/watch?v=tubhteKh_dQ
https://www.youtube.com/watch?v=QQF61CFOySw
Li https://www.youtube.com/watch?v=Vxqe_ZOwsHs
Na https://www.youtube.com/watch?v=dmcfsEEogxs
K https://www.youtube.com/watch?v=oqMN3y8k9So
https://www.youtube.com/watch?v=eaChisV5uR0
1A
H
Li
Na
K
Rb
Cs
Fr
Li
Na
K
19 20-Jul-17 © Prof. Zvi C. Koren
1A
H
Li
Na
K
Rb
Cs
Fr
Chemical Periodicity
Li
Na
K
M(s) + H2O(l) MOH(aq) + ½H2(g) + Heat
Reaction Names:
Hydrolysis
Single Replacement
“Redox”
(Reduction-oxidation)
Exothermic
Gas-Forming
aqueous
Elements of the same group have similar – but not identical – properties.
20 20-Jul-17 © Prof. Zvi C. Koren
2.
Atoms
21 20-Jul-17 © Prof. Zvi C. Koren
Democritus (~ 460 – 370 BCE)
ἄτομος , ἀτόμους , ἄτομα , … atomos = a + tomos = uncut, undivided, indivisible
All matter was eventually reducible to discrete, small
particles or atomos.
“Nothing exists except atoms and
empty space, everything else is
opinion.”
Democritus is known as the
"Laughing Philosopher" because of
his joyous spirit. He was a big man
(relatively speaking) and enjoyed life
tremendously.
22 20-Jul-17 © Prof. Zvi C. Koren
23 20-Jul-17 © Prof. Zvi C. Koren
amu = atomic mass unit
Atomic Composition
e–
H+
Relative Atomic Mass Scale:
Mass of 1 atom of 12C 12 (exactly) amu
24 20-Jul-17 © Prof. Zvi C. Koren
Atomic Symbols & Isotopes (איזוטופים)
XA
ZElement symbol
Atomic Number # of protons =
Mass Number # of protons + # of neutrons =
Examples of Isotopes:
C14
6 C
13
6 C
12
6 :carbonelement theof isotopes Three
for a neutral atom: # of electrons = # of protons
protium deuterium (D) tritium (T)
Isotopes = different atoms of the same element Radioactive
Consider ions (charged species – “to go”): 13C4-: #p = __, #n = __, #e = __. 3H+: #p = __, #n = __, #e = __.
carbon-12 carbon-13 carbon-14 #p =
#n =
#e =
#p =
#n =
#e =
1H 2H 3H Three isotopes of the element hydrogen:
25 20-Jul-17 © Prof. Zvi C. Koren
Atomic Mass or Atomic Weight (A.W.)
the weighted average of all the stable isotopes of that element
Atomic Mass or
Atomic Weight (amu)
Percent (%)
Abundance Mass (amu)
Mass
Number Symbol Element
1.00797 99.9855 1.007825 1
H Hydrogen 0.0145 2.014102 2
10.811 19.91 10.012939 10
B Boron 80.09 11.009305 11
15.9994
99.759 15.994914 16
O Oxygen 0.0374 16.999134 17
0.2039 17.999160 18
12.011
12
(exactly) 12
C Carbon
13
Table of Exact Masses of the Stable Isotopes of Some Elements
For example:
A.W. of O = 0.99759(15.994914) + 0.000374(16.999134) + 0.002039(17.999160)
= 15.9994 amu [This is the mass that appears in the Periodic Table.]
?
26 20-Jul-17 © Prof. Zvi C. Koren
Notes about Atomic Weights
• All atomic masses (except for 12C) are NOT integers
• Mass number is always an integer!
• A.W. the sum of all the particles.
For example for deuterium, 2H (or D):
1 proton = 1.007276 amu
1 neutron = 1.008665
1 electron = 0.0005485799
Total mass of particles = 2.0164895799 amu
Atomic Weight = 2.014102 amu
Difference in mass = 0.002387 amu = 3.9638x10-30 kg
Why?
Mass defect: E = mc2 = (3.9638x10-30 kg)(2.997925x108 m/s)2 = 3.5625x10-13 J/atom
1 atom = 2.014102 amu = 3.3445x10-24 g
energy/gram = 1.0652x1011 J/g = 1.0652x108 kJ/g
energy/mole = 2.1454x108 kJ/mole
For exothermic chemical reactions: energy/mole 102 kJ/mole
27 20-Jul-17 © Prof. Zvi C. Koren
3.
Ionic & Covalent Compounds:
Molecular Formulas
28 20-Jul-17 © Prof. Zvi C. Koren
The Language of Chemistry
Letters = Element Symbols
↓ ↓
Words = Compound Formulas
29 20-Jul-17 © Prof. Zvi C. Koren
Compounds
Covalent (between Nonmetals)
Ionic (typically between Metals & Nonmetals)
composed of ions
positive (+):
Cation
negative (-):
Anion
Electric
“Glue”
composed of e-sharing
Atoms share the same e-pair
A : B
Salts & Oxides
30 20-Jul-17 © Prof. Zvi C. Koren
Ionic Compounds
composed of ions: positive(+) and negative(-)
when Metals meet Nonmetals, they instantly fall in LOVE
Metals LOVE to transfer electrons to Nonmetals
“opposites attract” or “viva la difference”
31 20-Jul-17 © Prof. Zvi C. Koren
Octet Rule: Atoms combine to mimic the very stable noble elements
Main Group Number is the number of valence electrons = Number of e’s in outermost shell
Typical charges for monatomic ions:
Na+ Mg2+ Al3+ C4- N3- O2- F-
Examples of ions:
1+ 2+ 3+ 4- 3- 2- 1-
Na + Cl Na Cl + – He
Ne
Ar
Kr
Xe
Rn
X
Ionic Charges
Ca & Br:
Examples of compounds:
Ca2+ + 2Br– CaBr2(s)
Ba & S: Ba2+ + S2– BaS(s)
Al & O: K & N:
2Al3+ + 3O2– Al2O3(s) 3K+ + N3– K3N(s)
32 20-Jul-17 © Prof. Zvi C. Koren
Transition Metals & Others (continued)
Fe Cu
Hg
Sn
Pb
Common Ions
with two possible charges
-ous and –ic
Names
Roman-Numeral
Name
Ion
Ferrous ion Iron(II) ion Fe2+
Ferric ion Iron(III) ion Fe3+
Cuprous ion Copper(I) ion Cu+
Cupric ion Copper(II) ion Cu2+
Mercurous ion Mercury(I) ion Hg22+
Mercuric ion Mercury(II) ion Hg2+
Stannous ion Tin(II) ion Sn2+
Stannic ion Tin(IV) ion Sn4+
Plumbous ion Lead(II) ion Pb2+
Plumbic ion Lead(IV) ion Pb4+
33 20-Jul-17 © Prof. Zvi C. Koren
Nomenclature of Ionic Compounds (שיטת כינוי, כיניון, מינוח)
Cation: Metal = Element name or
NH4+ = ammonium ion (and its derivatives: CH3NH3
+, …) – polyatomic cation
Anion: Monatomic = Element root name + ide
7A 6A 5A 4A
H– hydride
F– fluoride O2– oxide N3– nitride C4– carbide
Cl– chloride S2– sulfide P3– phosphide
Br– bromide Se2– selenide
I– iodide Te2– telluride
Examples:
CaBr2
BaS
Al2O3
K3N
FeCl2
FeCl3
Hg2Cl2
HgCl2
LiH
(NH4)3P
calcium bromide
barium sulfide
aluminum oxide
potassium nitride
iron(II) chloride = ferrous chloride
iron(III) chloride = ferric chloride
mercury(I) chloride = mercurous chloride
mercury(II) chloride = mercuric chloride
lithium hydride
ammonium phosphide
34 20-Jul-17 © Prof. Zvi C. Koren
NOT composed of ions
(but consist of partial charges: δ+ and δ–)
Covalent Compounds (between Nonmetals)
35 20-Jul-17 © Prof. Zvi C. Koren
C2H6O
Formulas - Representations
Molecular Formula
Condensed Structural Formula
Expanded Structural Formula
Stereo Projection Formula
Molecular Model
CH3CH2OH
OH
H
H
H
H H
CC
Example: Ethanol or Ethyl Alcohol
HO
H
H
H
H
H
CC
(ball & stick) (spacefill)
36 20-Jul-17 © Prof. Zvi C. Koren
Nomenclature of Binary Nonmetal Compounds: AaBb
prefix #
mono 1
di 2
tri 3
tetra 4
penta 5
hexa 6
hepta 7
octa 8
nona 9
deca 10
EXAMPLES:
NF3
NO
NO2
N2O
N2O4
PCl5
SF6
S2F10
IF7
HCl
H2S
H3As
What do these molecules look like?
General Rule for AaBb:
With no H’s: (prefix mono)(Element name for A) (prefix)(name of B as an ide)
With H’s: same as above without any prefixes
H2O water
NH3 ammonia
N2H4 hydrazine
PH3 phosphine
NO nitric oxide
N2O nitrous oxide
Compounds
with
Historical Names
(do not follow the rules):
nitrogen trifluoride
nitrogen monoxide
nitrogen dioxide
dinitrogen monoxide
dinitrogen tetraoxide
phosphorus pentachloride
sulfur hexafluoride
disulfur decafluoride
iodine heptafluoride
hydrogen chloride
hydrogen sulfide
hydrogen arsenide
37 20-Jul-17 © Prof. Zvi C. Koren
Substance with an ionizable proton in an aqueous solution: HCl(aq) H+ + Cl–
Naming Acids
• If anion’s suffix is ide, the acid’s name is: hydro(anion root name)ic acid:
Compound(aq), Acid Pure Compound Anion
HCl(aq), hydrochloric acid HCl(g), hydrogen chloride Cl– chloride
HBr(aq), hydrobromic acid HBr(g), hydrogen bromide Br– bromide
H2S(aq), hydrosulfuric acid H2S(g), hydrogen sulfide S2– sulfide
HCN(aq), hydrocyanic acid HCN, hydrogen cyanide CN– cyanide
• For oxyacids (oxoacids): if anion’s suffix is ate, the acid’s name is: (anion root name)ic acid if anion’s suffix is ite, the acid’s name is: (anion root name)ous acid
HNO3(aq) nitric acid NO3– nitrate
HNO2(aq) nitrous acid NO2– nitrite
H2SO3(aq) sulfurous acid SO32– sulfite
H2SO4(aq) sulfuric acid SO42– sulfate
HOCl(aq) hypochlorous acid ClO– hypochlorite
HClO2(aq) chlorous acid ClO2– chlorite
HClO3(aq) chloric acid ClO3– chlorate
HClO4(aq) perchloric acid ClO4– perchlorate
H3PO4(aq) phosphoric acid PO43– phosphate
H3PO3(aq) phosphorous acid PO33– phosphite
38 20-Jul-17 © Prof. Zvi C. Koren
Hydrated Compounds
39 20-Jul-17 © Prof. Zvi C. Koren
Nomenclature of Selected Compounds
Formula Name
MgCl2 magnesium chloride
Fe(ClO3)3 iron(III) chlorate ALSO ferric chlorate
Fe(ClO2)2 iron(II) chlorite ALSO ferrous chlorite
Mg(SCN)2 magnesium thiocyanate
N2O5 dinitrogen pentoxide
HCl(g) hydrogen chloride
HCl(aq) hydrochloric acid
HClO3(aq) chloric acid
HClO2(aq) chlorous acid
40 20-Jul-17 © Prof. Zvi C. Koren
4.
Chemical Reactions
41 20-Jul-17 © Prof. Zvi C. Koren
Acids & Bases – Preview
Acid (simple definition) = Substance that produces H+ ions
in water
HF(aq) H+ + F–
Strong Acid (Strong Electrolyte):
Weak Acid (Weak Electrolyte):
Common Strong Acids
HCl < HBr < HI
HClO3
HClO4
HNO3
H2SO4 (1st proton)
Base (simple definition) = Substance that produces OH–
ions in water
Common Strong Bases
MOH, M=Metal from Group I
M(OH)2, M=Metal from Group II
[But solubility limits the basicity]
ammonium ion
hydrochloric acid
hydrofluoric acid
Strong Base (Strong Electrolye):
NaOH(aq) Na+ + OH- sodium hydroxide
Ca(OH)2(aq) Ca2+ + 2OH-
calcium hydroxide
NH3(aq) + H2O(l) NH4+ + OH-
Weak Base (Weak Electrolyte):
ammonia
Moderately Strong Base (Strong Electro.):
acid + base salt + water
42 20-Jul-17 © Prof. Zvi C. Koren
+
Acid Base
Salt
Water
The Birth of a Salt: A Family Portrait
Koren’s Acid-Base Family Rule: The Strength of the Baby-Salt
will be according to the Stronger Parent
43 20-Jul-17 © Prof. Zvi C. Koren
Acid-Base Properties of Salts – Qualitative Hydrolysis of Salts
Reminder: The rxn between an acid and a base produces a SALT. For example, HCl(aq) + NaOH(aq) NaCl(aq) + H2O(l) (Daddy) (Mommy) (Baby)
Types of Salts: (Which are acidic, basic, or neutral?) 1. Salt from a strong acid & a strong base: NaCl 2. Salt from a weak acid & a strong base: NaAc, Na2CO3
3. Salt from a strong acid & a weak base: NH4Cl 4. Salt from a weak acid & a weak base: NH4Ac
Koren’s Family Rule: The nature of the baby is influenced by the stronger parent!
44 20-Jul-17 © Prof. Zvi C. Koren
H2O H+ + OH-
Equilibrium constant: Water ionization constant Kw = [H+][OH-] = 1.0 x 10–14 @ 25oC
In neutral solutions and pure water: [H+] = [OH-] = 1.0 x 10–7 M In acidic solutions: [H+] > [OH-] In basic solutions: [H+] < [OH-] but [H+][OH-] = 1.0 x 10–14
The Acid-Base Properties of Water:
Auto-Ionization
45 20-Jul-17 © Prof. Zvi C. Koren
Sorensen: “The potential (or power) of H”
pH –log[H+]
(Note: small “p” big “H”)
The pH Scale
@ 25 oC: For neutral solutions: pH = 7.00 For acidic solutions: pH < 7.00 For basic solutions: pH > 7.00
From before: [H+][OH-] = 1.0 x 10–14 @ 25 oC: In neutral solutions and pure water: [H+] = [OH-] = 1.0 x 10–7 M In acidic solutions: [H+] > [OH-] (e.g., [H+] = 10–6, [OH–] = 10–8) In basic solutions: [H+] < [OH-] (e.g., [H+] = 10–8, [OH–] = 10–6)
Note: log (10x) = x
46 20-Jul-17 © Prof. Zvi C. Koren
Acid/Base Strengths
pH –log[H+]
pKa –logKa
A pH meter measures the [H+] in solution
For an acid in equilibrium with its ions:
HA(aq) H+ + A–
Equilibrium Constant Ka [H+][A–]
[H+] Molar concentration of H+
= # of moles of H+ / L of solution
[HA]
Definitions:
pH = log([A–]/[HA]) + pKa
log([A–]/[HA])
pH
pKa
y = a· x + b
extrapolation
Interactive pH measurements: http://www.chem.iastate.edu/group/Greenbowe/sections/proj
ectfolder/flashfiles/acidbasepH/ph_meter.html
47 20-Jul-17 © Prof. Zvi C. Koren
Oxides as Acids & Bases
In general:
Nonmetallic oxides are acidic
Metallic oxides are basic
CO2(g) + H2O(l) ↔ “H2CO3(aq(”
“H2CO3(aq(” ↔ H+ + HCO3–
2 SO2(g) + O2(g) 2 SO3(g)
SO3(g) + H2O(l) “H2SO4(aq(”
“H2SO4(aq(” H+ + HSO4–
CaO(s) + H2O(l) Ca(OH)2(aq)
Ca(OH)2(aq) Ca2+ + 2 OH–
Nonmetal Oxides:
Metal Oxides:
“Acid Rain”: From NOx & SOx gases
48 20-Jul-17 © Prof. Zvi C. Koren
Precipitation
Acid-Base
Making Sense of the Vast Variety of Chemical Reactions &
Balancing Chemical Reactions
Decomposition
or
Dissociation
(Gas-Forming)
HgO(s) Hg(l) + O2(g)
HCl(aq) + NaOH(aq)
Pb(NO3)2(aq) + K2CrO4(aq)
2
2HgO(s) 2Hg(l) + O2(g)
½
acid + base salt + water
PbCrO4(s) + KNO3(aq)
NaCl(aq) + H2O(l)
49 20-Jul-17 © Prof. Zvi C. Koren
P4(s) + 6Cl2(g) 4PCl3(l) H2(g) + ½O2(g) H2O(l)
Note: fire or flames is heat + light
Mg(s( + ½O2(g) MgO(s) P4(s) + 5O2(g) P4O10(s)
Combustion, Redox, Formation
+ Oxide-Forming:
50 20-Jul-17 © Prof. Zvi C. Koren
Formation Rxns. (“reactions”): Production of 1 mole of compound from its stable elements.
Al(s) + Br2 (l) Al2Br6(s)
2Al(s) + 6Br(g) Al2Br6(s)
Examples:
Formation of Al2Br6(s):
Formation of ZnS(s):
Formation of NaCl(s):
Zn(s) + 1/8 S8(s) ZnS(s)
Na(s) + Cl2 (g) NaCl(s)
2 3
½
51 20-Jul-17 © Prof. Zvi C. Koren
Balancing Organic Reactions
Propane gas
C3H8(g) + O2(g) CO2(g) + H2O(l) 3 4 5
Note: The complete combustion of a hydrocarbon produces CO2 and H2O.
52 20-Jul-17 © Prof. Zvi C. Koren
EXCEPTIONS SOLUBLE
COMPOUNDS
None Salts of alkali metals and of NH4
+
None
Salts of: NO3–
ClO3–
ClO4–
Ac–
Ag+, Hg22+, Pb2+ Salts of Cl–, Br–, I–
Examples:
(NH4)2S(aq) 2NH4+ + S2–
Hg2(NO3)2(aq) Hg22+ + 2NO3
–
Hg(NO3)2(aq) Hg2+ + 2NO3–
Ca3(PO4)2(s) (no change)
EXCEPTIONS POORLY
SOLUBLE COMPOUNDS
alkali metals
and NH4+
(of course)
Salts of: CO32–
C2O42–
PO43–
CrO42–
S2–
Hydroxides OH–
Oxides O2–
Solubility of Ionic Compounds General Solubility Guidelines for Some Ionic Compounds in Water
53 20-Jul-17 © Prof. Zvi C. Koren
Pb(NO3)2(aq) + K2CrO4(aq) PbCrO4(s) + KNO3(aq)
Double-Exchange, Double-Replacement:
Net Ionic Reactions
Gross Rxn.:
Ionic Rxn.: Pb2+ + 2NO3– + 2K+ + CrO4
2– PbCrO4(s) + 2K+ + 2NO3–
Net Ionic Rxn.: Pb2+ + CrO42– PbCrO4(s)
Single-Exchange, Single-Replacement:
Mg(s) + 2HCl(aq) MgCl2(aq) + H2(g)
2H+ + 2Cl– Mg2+ + 2Cl–
Mg(s) + 2H+ Mg2+ + H2(g)
Gross Rxn.:
Net Ionic Rxn.:
Precipitation Rxn.
Gas-Forming +
Redox
Spectator Ions
2
Not all salts are relatively soluble in water. But all soluble salts dissociate into ions.
54 20-Jul-17 © Prof. Zvi C. Koren
2NaNO3(aq) + K2CrO4(aq) Na2CrO4(aq) + 2KNO3(aq)
Double-Exchange, Double-Replacement ???
Gross Rxn.???:
2Na+ + 2NO3– + 2K+ + CrO4
2– 2Na+ + CrO42– + 2K+ + 2NO3
–
Net Ionic Rxn.: NOTHING: NO REACTION!!!
55 20-Jul-17 © Prof. Zvi C. Koren
Acid-Base Rxns. (Double-Exchange)
Strong Acid + Strong Base:
HCl(aq) + NaOH(aq) NaCl(aq) + H2O(l) Gross Rxn.:
H+ + Cl– + Na+ + OH– Na+ + Cl– + H2O(l)
H+ + OH– H2O(l) Net Ionic Rxn.:
Weak Acid + Strong Base:
HAc(aq) + NaOH(aq) NaAc(aq) + H2O(l)
Salt Water
HAc(aq) + Na+ + OH– Na+ + Ac– + H2O(l)
Net Ionic Rxn.: HAc(aq) + OH– Ac– + H2O(l)
Gross Rxn.: Salt Water
56 20-Jul-17 © Prof. Zvi C. Koren
Strong Acid + Weak Base:
2HCl(aq) + CaCO3(s) CaCl2(aq) +
“H2CO3(aq)”
Gross Rxn.:
2H+ + 2Cl– + CaCO3(s) Ca2+ + 2Cl– + H2O(l) + CO2(g)
2H+ + CaCO3(s) Ca2+ + H2O(l) + CO2(g) Net Ionic Rxn.:
Strong Acid + Weak Base:
HCl(aq) + NH3(aq) NH4+ + Cl– or NH4Cl(aq)
H+ + Cl- + NH3(aq) NH4+ + Cl-
Net Ionic Rxn.: H+ + NH3(aq) NH4+
Gross Rxn.: Salt
(Double-Exchange)
Base (salt)
(Single-Exchange)
Salt Acid
57 20-Jul-17 © Prof. Zvi C. Koren
Fe2O3(s) + 3CO(g) 2Fe(s) + 3CO2(g)
+[O], oxidation
-[O], reduction
reducing agent
oxidizing agent
Redox (Reduction-Oxidation) Rxns.
In the beginning, Redox rxns. were defined in terms of actual O’s or H’s transferred.
C2H4(g) + H2(g) C2H6(g)
-[H], oxidation
+[H], reduction
reducing agent
oxidizing agent
O-transfer: From Fe2O3 to CO
H-transfer: From H2 to C2H4
[O]
[H]
But later, Redox rxns. were more generally defined in terms of electron-transfer even
if O’s or H’s were not actually involved. So, check the rxns. above.
How many e’s are
transferred in
each rxn.?
58 20-Jul-17 © Prof. Zvi C. Koren
2Fe(s) + O2(g) + 2H2O(l) 2Fe(OH)2(aq)
4Fe(OH)2(aq) + O2(g) 2H2O + 2Fe2O3·H2O(s)
Corrosion
Brown-red (“rust”)
(+2) (0)
(+3) (+2)
oxidized
oxidized
reduced
reduced
59 20-Jul-17 © Prof. Zvi C. Koren
2Ag+ + Cu(s) 2Ag(s) + Cu 2+
–2e–, oxidation
+2e–, reduction
reducing agent
oxidizing agent
Redox (Reduction-Oxidation) Rxns. (continued)
So, Redox rxns. can be more generally defined in terms of electron-transfer
even if O’s or H’s were not actually involved.
e-transfer: From Cu to Ag+
Write 2 Half-Rxns.:
Red.: 2[Ag+ + e– Ag(s)]
Ox.: Cu(s) Cu2+ + 2e–
Total: 2Ag+ + Cu(s) 2Ag(s) + Cu2+
Oxidation: Oxidation # (“charge”( increases: e’s are lost
Reduction: Oxidation # (“charge”( decreases: e’s are gained
2e–
60 20-Jul-17 © Prof. Zvi C. Koren
Koren’s “Law of the Jungle”
In the Jungle,
The Mighty Jungle,
The Lion
Sleeps Tonight …
(But when awakened he’ll roar)
LEO
GER!
LEO: Loss of Electrons is Oxidation
GER: Gain of Electrons is Reduction
61 20-Jul-17 © Prof. Zvi C. Koren
Electronegativity
The ability of a bonded atom to draw electrons close to it.
Oxidation Numbers (or Oxidation States)
7A
H : H
F : F
H : F δ+ δ-
O.N.:
• is an “invention” to explain Redox rxns.
• is a make-believe, virtual reality, electron-book-keeping charge on a bonded atom.
• indicates how electrons are shared among the various atoms bonded together.
• assumes that the more electronegative atom completely steals the electron(s) in a
bond, i.e., exaggerates the bond as ionic.
Na + F Na F + – Recall:
So, “oxidation number” of F is –1 and of H is +1:
Complete e-transfer
Full Charges
Partial e-transfer Partial Charges
middle
Redox (Reduction-Oxidation) Reactions
(continued)
62 20-Jul-17 © Prof. Zvi C. Koren
Rules for Determining Oxidation Numbers Note: The O.N. is the value on one atom of an element.
1. The O.N. of an atom in the molecule of a pure element is zero (0).
Examples: O in O2 or O3; S in S8; P in P4; Na in Na(s)
2. The O.N. of an atom in a monatomic ion is the same as its charge.
Examples: Cl–; Na+; Al3+
3. Some elements have the same oxidation numbers in ALL their compounds.
(a) Group IA Metals have an O.N. = +1 in all their compounds.
(b) Group IIA Metals have an O.N. = +2 in all their compounds.
(c) F has an O.N. = –1 in all its compounds.
4. Some elements have the same oxidation numbers in nearly all their compounds.
(a) H in covalent compounds is always +1; Examples: H2O; HCl; ...
H bonded to a IA or IIA metal is –1, of course. Examples: NaH; MgH2.
(b) O has an O.N. = –2 in most compounds. Examples: CO2; MgO; CH3OH ...
O as a peroxide is –1. Examples: H2O2; Na2O2,
O as a superoxide is –½. Example: KO2.
O with F has an O.N. of +2. Example: OF2.
5. The sum of all the O.N.’s equals the charge on the molecular species.
Work out the O.N. for each atom in the following species: CaCO3, SO42–, NH4
+
63 20-Jul-17 © Prof. Zvi C. Koren
Summary of Types of Reactions
(alphabetical)
Acid-Base
Combustion
Decomposition, Dissociation
Double-Exchange
Exothermic
Formation
Gas-Forming
Hydrolysis
Net Ionic
Oxide-Forming
Precipitation
Redox (Reduction-Oxidation)
Single Exchange
64 20-Jul-17 © Prof. Zvi C. Koren
5.
Measurement Units & Conversions
65 20-Jul-17 © Prof. Zvi C. Koren
The S.I. System of Measurement Units
“Système International”, SI (1960)
A systematic modernized metric system based on 7 base units
Built from the old “MKS” system
NIST: http://physics.nist.gov/cuu/Units/units.html
66 20-Jul-17 © Prof. Zvi C. Koren
Base quantity SI base unit
Name Symbol
length meter m
mass kilogram kg
time second s
electric current ampere A
temperature kelvin K
amount of substance mole mol
luminous intensity candela cd
67 20-Jul-17 © Prof. Zvi C. Koren
Examples of SI derived units
SI derived unit
Derived quantity Name Symbol
area square meter m2
volume cubic meter m3
speed, velocity meter per second m/s
acceleration meter per second squared m/s2
wave number reciprocal meter m-1
mass density kilogram per cubic meter kg/m3
specific volume cubic meter per kilogram m3/kg
current density ampere per square meter A/m2
magnetic field strength ampere per meter A/m
amount-of-substance
concentration mole per cubic meter mol/m3
luminance candela per square meter cd/m2
mass fraction
kilogram per kilogram,
which may be represented
by the number 1
kg/kg = 1
68 20-Jul-17 © Prof. Zvi C. Koren
SI derived units with special names and symbols
Derived quantity
SI derived unit
Name Symbol
Expression in terms of
other SI units
Expression in terms of
SI base units
frequency hertz Hz - s-1
force newton N - m·kg·s-2
pressure, stress pascal Pa N/m2 m-1·kg·s-2
energy, work, quantity of heat joule J N·m m2·kg·s-2
power, radiant flux watt W J/s m2·kg·s-3
electric charge, quantity of electricity coulomb C - s·A
electric potential difference,electromotive force (emf) volt V W/A m2·kg·s-3·A-1
capacitance farad F C/V m-2·kg-1·s4·A2
electric resistance ohm Ω V/A m2·kg·s-3·A-2
electric conductance siemens S A/V m-2·kg-1·s3·A2
magnetic flux weber Wb V·s m2·kg·s-2·A-1
magnetic flux density tesla T Wb/m2 kg·s-2·A-1
inductance henry H Wb/A m2·kg·s-2·A-2
Celsius temperature degree Celsius °C - K
luminous flux lumen lm cd·sr (c) m2·m-2·cd = cd
illuminance lux lx lm/m2 m2·m-4·cd = m-2·cd
activity (of a radionuclide) becquerel Bq - s-1
absorbed dose, specific energy (imparted), kerma gray Gy J/kg m2·s-2
dose equivalent sievert Sv J/kg m2·s-2
catalytic activity katal kat s-1·mol
69 20-Jul-17 © Prof. Zvi C. Koren
70 20-Jul-17 © Prof. Zvi C. Koren
Factor Name Symbol Factor Name Symbol
1024 yotta Y 10-1 deci d
1021 zetta Z 10-2 centi c
1018 exa E 10-3 milli m
1015 peta P 10-6 micro µ
1012 tera T 10-9 nano n
109 giga G 10-12 pico p
106 mega M 10-15 femto f
103 kilo k 10-18 atto a
102 hecto h 10-21 zepto z
101 deca,
deka da 10-24 yocto y
SI prefixes
71 20-Jul-17 © Prof. Zvi C. Koren
Units outside the SI that are accepted for use with the SI
Name Symbol Value in SI units
minute (time) min 1 min = 60 s
hour h 1 h = 60 min = 3600 s
day d 1 d = 24 h = 86 400 s
liter L 1 L = 1 dm3 = 10-3 m3
metric ton (“tonne”) t 1 t = 103 kg
neper Np 1 Np = 1
bel B 1 B = (1/2) ln 10 Np (c)
electronvolt eV 1 eV = 1.602 18 x 10-19 J,
approximately
unified atomic mass unit u 1 u = 1.660 54 x 10-27 kg,
approximately
72 20-Jul-17 © Prof. Zvi C. Koren
Other units outside the SI that are currently accepted for use with the SI,
subject to further review
Name Symbol Value in SI units
nautical mile 1 nautical mile = 1852 m
knot 1 nautical mile per hour =
(1852/3600) m/s
are a 1 a = 1 dam2 = 102 m2
hectare ha 1 ha = 1 hm2 = 104 m2
bar bar 1 bar = 0.1 MPa = 100 kPa
= 1000 hPa = 105 Pa
ångström Å 1 Å = 0.1 nm = 10-10 m
barn b 1 b = 100 fm2 = 10-28 m2
curie Ci 1 Ci = 3.7 x 1010 Bq
roentgen R 1 R = 2.58 x 10-4 C/kg
rad rad 1 rad = 1 cGy = 10-2 Gy
rem rem 1 rem = 1 cSv = 10-2 Sv
73 20-Jul-17 © Prof. Zvi C. Koren
Common Units of Measurements in Chemistry
Conversion to other units Symbol Unit name Quantity
1 in ≡ 2.54 cm m
in
meter
inch Length, l
1 lb 453.6 g kg
lb
kilogram
pound Mass, m
s second Time, t
T(K) = t(oC) + 273.15 oC
K
degree Celsius,
kelvin
Temperature,
T
1 bar = 0.1 MPa = 100 kPa = 105 Pa
1 atm ≡ 1.01325 bar
1 atm ≡ 760 mm Hg
1 torr ≡ 1 mm Hg
Pa
bar
atm
mm Hg, torr
pascal
atmosphere
bar
mm Hg, torr
Pressure, P
1 mol of items 6.02 x 1023 items
(Avogadro’s number = 6.02 x 1023 ) mol mole
Amount of
substance, n
1 L = 103 mL = 10–3 m3
1 cm3 ≡ 1 mL
m3
L
mL
cm3
cubic meter
liter
milliliter
cubic centimeter (c.c.)
Volume, V
d = m/V. 1 kg/m3 = 10–3 g/cm3
[@ room temp, d (g/mL): H2O: 1.0; Hg: 13.6]
kg/m3
g/cm3 = g/mL kilogram per cubic meter Density, d or ρ
1 cal ≡ 4.18 J J
cal
joule
calorie
Energy, heat,
work
74 20-Jul-17 © Prof. Zvi C. Koren
Conversions: Unit Conversion Factor
The Principle:
Multiplying a number (or measurement) by “1”
does not change the value of the number (or measurement)!!!
Examples:
5 1 = 5
(5 in) 1 = 5 in
5 𝑖𝑛 × 2
2= 5 𝑖𝑛
And now:
Convert “5.0 in” to “cm”; that is, how many centimeters are equal to 5.0 in?
The Unit-Factor for “cm in” is: 2.54 𝑐𝑚
1 𝑖𝑛 or
1 𝑖𝑛
2.54 𝑐𝑚
5.0 in 2.54 𝑐𝑚
1 𝑖𝑛 = 12.7 cm 13 cm. Why? “Significant Figures”! (See next topic)
Convert “9.0 cm” to “in”; that is, how many inches are equal to 9.0 cm?
9.0 cm 1 𝑖𝑛
2.54𝑐𝑚 = 3.5433 in 3.5 in. Why? “Significant Figures”! (See next topic)
75 20-Jul-17 © Prof. Zvi C. Koren
Significant Figures
The Principle:
The result of a mathematical operation involving measurements
cannot be more accurate than the least accurate measurement)!!!
Consider the following measurements:
The distance (or length) between two specific points were measured with
different measuring devices/instruments (e.g, ruler, vernier caliper, laser, etc.):
9 cm
9.0 cm
9.00 cm
9.000 cm
Which measurement is the most accurate (least uncertainty)?
What is the number of “significant figures of each measurement?
Thus, consider the previous exercise of converting: 9.0 cm in:
9.0 cm 1 𝑖𝑛
2.54𝑐𝑚 = 3.5433 in 3.5 in. Why?
Sometimes we can write the final result as such: 3.5433 or 3.5433 or 3.5433
76 20-Jul-17 © Prof. Zvi C. Koren
More Unit Conversions
Area:
This property consists of the square of a unit:
Density:
This property consists of a ratio of units:
Multiple Factors:
This property consists of a product of units:
Convert 5.00 m2 to cm2:
5.00 m2 100 𝑐𝑚
1 𝑚
2 = 5.00 100 𝑐𝑚 2 = 5.00 (102 cm)2 = 5.00 104 cm2
Volume :
This property consists of the cube of a unit: Convert 5.00 m3 to cm3:
5.00 m3 100 𝑐𝑚
1 𝑚
3 = 5.00 100 𝑐𝑚 3 = 5.00 (102 cm)3 = 5.00 106 cm3
Convert 5.00 m to ft: 100 𝑐𝑚
1 𝑚
1 𝑖𝑛
2.54 𝑐𝑚
1 𝑓𝑡
12 𝑖𝑛 = 16.4 ft 5.00 m
Convert density of Hg, 13.6 g/cm3, to kg/m3:
13.6 = 13.6 103 kg/m3 𝑔
𝑐𝑚3
1 𝑘𝑔
103 𝑔
102𝑐𝑚
1 𝑚
3
77 20-Jul-17 © Prof. Zvi C. Koren
6.
The Mole
78 20-Jul-17 © Prof. Zvi C. Koren
mole
Mole Day is celebrated on Oct. 23 from 6:02 am to 6:02 pm
79 20-Jul-17 © Prof. Zvi C. Koren
Lorenzo Romano Amadeo Carlo Avogadro 1776 – 1856
The word “mole”:
Coined by Wilhelm Ostwald (1896), Latin “moles” meaning “heap” or “pile”.
Avogadro’s Number:
1 mole of things = 6.022x1023 things
80 20-Jul-17 © Prof. Zvi C. Koren
The mole is a number!
For example:
1 dozen = 12
1 dozen eggs = 12 eggs
1 dozen chairs = 12 chairs
1 dozen molecules = 12 molecules
1 dozen atoms = 12 atoms
1 mole = 6.022x1023
1 mole of eggs = 6.022x1023 eggs
1 mole of chairs = 6.022x1023 chairs
1 mole of molecules = 6.022x1023 molecules
1 mole of atoms = 6.022x1023 atoms
The Mole … once agin … The Bridge to the Human Scale
81 20-Jul-17 © Prof. Zvi C. Koren
Molecular Formula, Moles, Molecules, Atoms: Summary
Examples:
Molecular formula = (CH3)2CF2
1 molecule contains: 3 C atoms
6 H atoms
2 F atoms
100 molecules contain: 300 C atoms
600 H atoms
200 F atoms
1 mole of molecules contains: 3 moles of C atoms = 3 x 6.022 x 1023 C atoms
6 moles of H atoms = 6 x 6.022 x 1023 H atoms
2 moles of F atoms = 2 x 6.022 x 1023 F atoms
OK? OK!
82 20-Jul-17 © Prof. Zvi C. Koren
What’s so great about the mole or Avogadro’s Number???
Converts masses in amu to the same number in grams
Molar Mass
(g/mol) Masses Atoms/Molecules
12 g/mol
12 amu
12 g
1 12C atom
1 mol of 12C atoms
10.0129 g/mol
10.0129 amu
10.0129 g
1 10B atom
1 mol of 10B atoms
32.00 g/mol
32.00 amu
32.00 g
1 O2 molecule
1 mol of O2 molecules
2.00 g/mol
2.00 amu
2.00 g
1 H2 molecule
1 mol of H2 molecules
Molecular Weight (MW)
Formula Weight (FW)
1 g = 6.022x1023 amu
g ? amu
Avogadro’s Number is a Magic Number!!!
Atomic Weight (AW)
83 20-Jul-17 © Prof. Zvi C. Koren
1 g = 6.022x1023 amu
g amu
5.0 g amu = ?
5.0 g g amu
1 = 3.0 x 1024 amu
“Unit Factor”
Mass Conversions
6.022 x 1023
Example for g amu:
2.0 amu g = ?
2.0 amu g
amu 1 = 3.3 x 10-24 g
“Unit Factor”
6.022 x 1023
Example for amu g:
84 20-Jul-17 © Prof. Zvi C. Koren
Grams Moles 31.8 g Cu Moles of Cu atoms = ?
31.8 g Cu g Cu
mol Cu 1
63.55 = 0.500 mol Cu
Moles Grams
“Unit Factor”
(A.W.)
0.300 mol Cu atoms g Cu = ?
g Cu
mol Cu 1
63.55 = 19.1 g Cu
“Unit Factor”
(A.W.)
0.300 mol Cu
Moles and Molar Masses of the Elements
85 20-Jul-17 © Prof. Zvi C. Koren
How many moles are there in 1.00 lb of silicon?
Weight
1.00 lb Si g
lb 1
453.6 mol g 28.0855
1 = 16.2 mol Si
Moles
Grams Moles Weight
86 20-Jul-17 © Prof. Zvi C. Koren
Grams Moles 1.6 g CH4 Moles of CH4 molecules = ?
1.6 g CH4 g CH4
mol CH4 1
16.0 = 0.10 mol CH4
Moles Grams
“Unit Factor” (M.W.)
0.10 mol CH4 molecules g CH4 = ?
g CH4
mol CH4 1
16.0 = 1.6 g CH4
“Unit Factor” (M.W.)
0.10 mol CH4
Molar Mass or Molecular Weight (M.W.) For Example, for CH4: MW = 12.0 + 4(1.0) = 16.0 g/mol
Also:
M
mn
87 20-Jul-17 © Prof. Zvi C. Koren
Moles Number
Number of Items
0.20 mol tables # of tables = ?
0.20 mol tables mol tables
tables 6.02x1023
1 = 1.2x1023 tables
Number Moles
“Unit Factor”
1.2x1023 Cu atoms mol Cu = ?
mol Cu atoms
Cu atoms 6.02x1023
1 = 0.20 mol Cu atoms
“Unit Factor”
1.2x1023 Cu atoms
Avogadro’s Number:
1 mole of things = 6.022x1023 things
88 20-Jul-17 © Prof. Zvi C. Koren
Percent Composition
Weight (or mass) % of each element in a compound
For example, NH3:
N % 82.27 100 x g 17.030
g 01.14 NHin N % 3
H % 17.73 100 x g 17.030
g 1.008 x 3 NHin H % 3
100.00 %
89 20-Jul-17 © Prof. Zvi C. Koren
Summary
Mole Avogadro’s
Number Mass
constant variable
90 20-Jul-17 © Prof. Zvi C. Koren
7.
Stoichiometry: Chemical Mathematics
91 20-Jul-17 © Prof. Zvi C. Koren
Stoichiometry Stoicheion + metron
(element) (measure)
Weight relations in chemical rxns. based on conservation of matter
Examples:
2 “molecules” 1 molecule 2 atoms
2x 6.02x1023 “molec.” 6.02x1023 molecules 2x 6.02x1023 atoms
2 moles of “molecules” 1 mole of molecules 2 moles of atoms
80.6 g 32.0 g 48.6 g
2Mg(s) + O2(g) 2MgO(s)
For any rxn.,
The absolute value of each coefficient is meaningless by itself!
BUT, the RATIOS are HOLY!!!
IFThen: אז-אם relationship
כימות כימי
92 20-Jul-17 © Prof. Zvi C. Koren
Stoichiometric Calculations: The Approach
gram mole mole mole
moleA gram gram gramA
MW (or AW)
2. Think in Moles !!!
3. Setup a Flow-Chart whereby g mol mol
Helpful Tips for Solving Problems:
4. Always include Units and Substance Name
Simple formula: MW
mn
moleB Stoichiometry
(rxn)
1. Write the Balanced rxn!!
93 20-Jul-17 © Prof. Zvi C. Koren
2Mg(s) + O2(g) 2MgO(s)
Stoichiometric Calculations: Examples
Calculate the number of grams of MgO produced from 0.145 g Mg.
grams
moles moles
grams ?
AW, MW MW
Stoichiometric Ratio: Rxn
0.145 g Mg
Mg 3050.24
Mg 1
g
mol
Mg 2
MgO 2
mol
mol
MgO 1
MgO 0.30444
mol
g = 0.240 g MgO
MW factor MW factor Rxn factor or
Stoichiometric factor
So, Remember, All Roads Go Through Moles !!!
94 20-Jul-17 © Prof. Zvi C. Koren
Percent Yield
% Yield = 100 x
yieldltheoretica
yieldactual
Many rxns do NOT go to completion. There is a chemical energy barrier involved.
C7H6O3(s) + C4H6O3(l) C9H8O4(s) + H2O(l) For example:
salicylic acid
acetic anhydride
acetyl salicylic
acid
Aspirin
If from 14.43 g of the acid, 6.26 g of aspirin is produced, what is the % yield for the rxn?
2 2
Theoretical yield or maximum yield (assuming rxn goes to completion):
cid 38.12261
cid 1
ag
amol
acid 2
aspirin 2
mol
mol
aspirin 1
aspirin 80.15981
mol
g = 18.82 g aspirin
% yield = 100 x 82.18
26.6
g
g= 33.3 %
14.43 g acid
95 20-Jul-17 © Prof. Zvi C. Koren
Solution Concentrations
Molarity, Formality, molality, Normality, % w/w, % w/v
Molarity = M = n
/V # of moles of solute per liter of solution
# of mmoles of solute per mL of solution
moles/L
mmoles/mL
“3.0 molar potassium permanganate solution”
3.0 moles of KMnO4 per L of solution
3.0 mmoles of KMnO4 per mL of solution
Dilutions
Prepare 500.0 mL of a 0.100-M KMnO4 solution from a 3.0-M stock solution?
Use n = M•V
= n = Mstock • Vstock Mnew • Vnew
Vstock = 0.0167 L = 16.7 mL
Preparation of a Diluted Solution:
• Remove 16.7 mL of the 3.0-M stock solution
• Add enough water (“483.3 mL”) to produce 500. mL of solution
96 20-Jul-17 © Prof. Zvi C. Koren
Solution Stoichiometry
Titrations: Acid-Base & Redox
Buret
NaOH(aq) + H2C2O4(aq)
Acid-Base Titrations
Na2C2O4(aq) + H2O(l) 2 2
Erlenmeyer
flask
End-Point or Equivalence Point of an Acid-Base or Redox rxn: Point at which all of of the Acid reacts with all of the Base or all of the oxidant reacts with all of the reductant.
Problem 1: Reaching an end-point
How many mL of 0.300 M sodium hydroxide are needed to
titrate 25.0 mL of 0.400 M oxalic acid?
Solution:
n = M ·V
MA,VA moles acid moles base V base rxn V=n/M
nACID = MA ·VA =
VBASE = nBASE / MBASE = 0.0200 mol / 0.300 M = 0.0667 L = 66.7 mL
(0.400 M)(0.0250 L) = 0.0100 mol
nBASE = 2 • nACID = 2 • (0.0100 mol) = 0.0200 mol
n=M·V
97 20-Jul-17 © Prof. Zvi C. Koren
Terminology for dissolution: a solute is dissolved by a solvent to form a solution.
Units Formula Definition Name
M M = molssolute/Lsol’n # of moles of solute per L of solution Molarity
N N = eqssolute/Lsol’n # of equivalents of solute p. L of sol’n Normality
g/mL dsol’n = msol’n/Vsol’n mass of the sol’n per volume of sol’n Density of Sol’n (d or , rho)
m m = molssolute/kgsolvent
|m| |M|
# of moles of solute per kg of solvent
In dilute aqueous solutions: Molality
(none)
%
Xi = ni/nsol’n, ΣXi = 1
Xi 100
moles of a component p. total moles
mole fraction of a comp. as a percent
Mole fraction
Mole percent
% w/w % = mi/msol’n100
w/v % = gi/mLsol’n100
weight of solute/weight of sol’n, as %
weight of solute/volume of sol’n, as % Weight percent
ppm ppm = gi/gsol’n= mg/kg
ppm |mg/L|
# of solute parts p. million sol’n parts
In dilute aqueous solutions: Parts per million
ppb ppb = ngi/gsol’n= g/kg
ppb |g/L|
# of solute parts p. billion sol’n parts
In dilute aqueous solutions: Parts per billion
% v/v %=Vi,pure/Vsol’n100 vol. of pure solute/vol. of sol’n, as % Volume percent
Proof Proof = 2(v/v %) Double the Volume % (for whiskey) Proof
More Solution Concentrations
Note: Must always write the units and the substance, e.g., 2.0 g solute.
Questions: What is ppt? ___________________ pph? ________________________
98 20-Jul-17 © Prof. Zvi C. Koren
Selected Concentration Examples:
(1) 1.2 kg ethylene glycol (HOCH2CH2OH), an antifreeze, is added to 4.0 kg
water. Calculate (for ethylene glycol): mole fraction, molality, weight/weight%.
[Answers: X = 0.080, m = 4.8 m, w/w % = 23 %]
(2) 560 g NaHSO4 are dissolved in 4.5x105 L water at 25 oC. Calculate the Na+
concentration in parts per million. [Answer: 0.24 ppm]
(3) 10.0 g of sucrose (C12H22O11) are dissolved in 250. g of water. Calculate (for
sugar): X, m, w/w %. [Answers: X = 0.00210, m = 0.117 m, w/w % = 3.85 %.]
(4) Sea water has a sodium ion concentration of 1.08 x 104 ppm. If the Na is
present in the form of dissolved sodium chloride, how many grams of NaCl
are in each liter of sea water? (Density of sea water is 1.05 g/mL.)
[Answer: 28.7 g NaCl/L]
(5) A 0.100-M aqueous solution of ethylene glycol has a density of 1.09 g/mL.
What is the molality of the solution? [Answer: 0.0923 m]
99 20-Jul-17 © Prof. Zvi C. Koren
Impossible (?) Formulas
HIJKLMNO
BaNa2
NAg
MgNiV
13Al–1H–19K–9F–19K
S H N U K Ra
Au
:(L R)ארגון אשלגן חנקן הליום גופרית